Mohammed has a garden in the shape of a semi-circle. If the width of the garden, at it’s widest point, is 14 feet, how large is the garden in square yards. Thank you in advance.
The radius is 7 feet = 2.33 yards
Circle Area = pi * r^2
A = 3.14 * 2.33 * 2.33
A = 17.0467
Half of that is 8.52 square yards.
The widest point=14ft.=4.7yds.=diameter
A=(pi)r^2/2=3.14(2.35)^2/2=8.67 sq yds.
Our difference comes in how we rounded.
To find the area of the garden in square yards, we need to follow a few steps:
Step 1: Calculate the radius of the semicircle.
In a semicircle, the radius is equal to half the width. Therefore, the radius of the garden would be 14 feet divided by 2, which is 7 feet.
Step 2: Calculate the area of the semicircle.
The formula to calculate the area of a semicircle is A = (π * r^2) / 2, where A is the area and r is the radius.
Substituting the values we have, the area of the semicircle would be (π * 7^2) / 2.
Step 3: Convert the area from square feet to square yards.
Since we need the area in square yards, we need to convert it. There are 9 square feet in 1 square yard.
So, we divide the area in square feet by 9 to get the area in square yards.
Now, let's calculate the area:
Area = (π * 7^2) / 2
Area = (π * 49) / 2
Area ≈ 76.97 square feet
Area in square yards = 76.97 / 9 ≈ 8.55 square yards
Therefore, the garden is approximately 8.55 square yards in size.